An algebraic theory of infinite classical lattices II: Axiomatic theory
| dc.creator | Ridgeway, Don | |
| dc.date | 2005-10-08 | |
| dc.date.accessioned | 2026-07-07T06:47:01Z | |
| dc.date.available | 2026-07-07T06:47:01Z | |
| dc.description | We apply the algebraic theory of infinite classical lattices from Part I to write an axiomatic theory of measurements, based on Mackey's axioms for quantum mechanics. The axioms give a complete theory of measurements in the sense of Haag and Kastler, taking the traditional form of a logic of propositions provided with a classical spectral theorem. The results are expressed in terms of probability distributions of individual measurements. As applications, we give a separation theorem for states by the set of observables and discuss its relationship to the equivalence of ensembles in the thermodynamic-limit program. We also introduce a weak equivalence of states based on the theory. | |
| dc.description | 10 pages, latex amsart | |
| dc.identifier | https://arxiv.org/abs/math-ph/0510031 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0510031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103522 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 46A13 (primary), 46M40 (secondary) | |
| dc.title | An algebraic theory of infinite classical lattices II: Axiomatic theory | |
| dc.type | text |